Respuesta :

Notice there are three points marked on the blue curve. The right-most point is (0,1) which is the y intercept

Now notice the red curve also has three points in a similar configuration as the blue curve. The right-most point on the red curve corresponds to the right-most point on the blue curve. The right-most point on the red curve is (2,3)

So the point (0,1) on the blue curve moves to (2,3) on the red curve.

We go from x = 0 to x = 2, therefore, the point has shifted 2 units to the right. This applies to every point on the blue curve.

So h = 2

Answer: 2

Side Notes:
1) A positive h tells us to move to the right (if h = -2 then we move 2 units to the left)

2) The value of k is k = 2 since we move 2 units up.

3) The translation rule is (x,y) --> (x+2, y+2)